12. Josh has [tex]\(c\)[/tex] coins. Nick has 4 fewer coins than 3 times as many coins as Josh. Which expression can be used to show how many coins Nick has?

A. [tex]\(3c - 4\)[/tex]
B. [tex]\(3 - 4c\)[/tex]
C. [tex]\(4c - 3\)[/tex]
D. [tex]\(4 - 3c\)[/tex]



Answer :

To solve this problem, we need to determine the correct expression that shows how many coins Nick has based on the problem's conditions.

1. Identify Josh's coins:
Josh has [tex]\( c \)[/tex] coins.

2. Determine Nick's relationship to Josh's coins:
The problem states that Nick has 4 fewer coins than 3 times as many coins as Josh.

3. Break down the expression step-by-step:
a. First, we calculate 3 times the number of coins Josh has:
[tex]\[ 3 \times c = 3c \][/tex]
b. Next, we subtract 4 from this amount, since Nick has 4 fewer coins than 3 times Josh's coins:
[tex]\[ 3c - 4 \][/tex]

Therefore, the correct expression that represents the number of coins Nick has is:
[tex]\[ 3c - 4 \][/tex]

Thus, the answer is:
A. [tex]\( 3c - 4 \)[/tex]